| Title:
|
A quantile goodness-of-fit test applicable to distributions with non-differentiable densities (English) |
| Author:
|
Rublík, František |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
33 |
| Issue:
|
5 |
| Year:
|
1997 |
| Pages:
|
505-524 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62E20 |
| MSC:
|
62G10 |
| idZBL:
|
Zbl 0930.62015 |
| idMR:
|
MR1603957 |
| . |
| Date available:
|
2009-09-24T19:11:07Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125397 |
| . |
| Reference:
|
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| Reference:
|
[2] E. Bofinger: Goodness-of-fit test using sample quantiles.J. Roy. Statist. Soc. Ser. B 35 (1973), 277-284. Zbl 0263.62029, MR 0336896 |
| Reference:
|
[3] L. N. Bolshev: Cluster analysis.Bull. Inst. Internat. Statist. 43 (1969), 411-425. Zbl 0227.62037, MR 0397999 |
| Reference:
|
[4] H. Cramér: Mathematical Methods of Statistics.Princeton University Press, Princeton 1946. MR 0016588 |
| Reference:
|
[5] R. B. D'Agostino: An omnibus test for normality for moderate and large size samples.Biometrika 58 (1971), 341-348. MR 0323010 |
| Reference:
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[6] R. C. Dahiya, J. Gurland: Pearson chi-squared test of fit with random intervals.Biometrika 59 (1972), 147-153. Zbl 0232.62017, MR 0314191 |
| Reference:
|
[7] J. K. Ghosh: A new proof of the Bahadur representation of quantiles and an application.Ann. Math. Statist. 42 (1971), 1957-1961. Zbl 0235.62006, MR 0297071 |
| Reference:
|
[8] P. J. Huber: Robust Statistics.Wiley, New York 1981. Zbl 0536.62025, MR 0606374 |
| Reference:
|
[9] N. L. Johnson S. Kotz, N. Balakrishnan: Continuous Univariate Distributions -- 1.Wiley, New York 1994. |
| Reference:
|
[10] I. A. Koutrouvelis, J. Kellermeier: A goodness-of-fit test based on the empirical characteristic function when the parameters must be estimated.J. Roy. Statist. Soc. Ser. B 43 (1981), 173-176. MR 0626762 |
| Reference:
|
[11] J. A. J. Metz P. Haccou, E. Meelis: On the Shapiro-Wilk test and Darling's test for exponentiality.Biometrika 50 (1994), 527-530. |
| Reference:
|
[12] D. S. Moore: A chi-square statistic with random cell boundaries.Ann. Math. Statist. 42 (1971), 147-156. Zbl 0218.62015, MR 0275601 |
| Reference:
|
[13] M. S. Nikulin: Chi-square test for continuous distributions with location and scale parameters.Theor. Veroyatnost. i Primenen. 18 (1973), 583-592. (In Russian.) MR 0359166 |
| Reference:
|
[14] M. S. Nikulin: On a quantile test.Theor. Veroyat. i Primenen. 19 (1974), 431-434. (In Russian.) Zbl 0313.62018, MR 0398000 |
| Reference:
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[15] D. Pollard: Asymptotics via empirical processes.Statist. Sci. 4 (1989), 341-366. Zbl 0955.60517, MR 1041762 |
| Reference:
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[16] C. R. Rao: Linear Statistical Inference and Its Applications.Wiley, New York 1973. Zbl 0256.62002, MR 0346957 |
| Reference:
|
[17] S. S. Shapiro, M. B. Wilk: An analysis variance test of normality.Biometrika 52 (1965), 591-611. MR 0205384 |
| Reference:
|
[18] S. S. Shapiro, M. B. Wilk: An analysis of variance test for the exponential distribution (complete samples).Technometrics 14 (1972), 355-370. |
| Reference:
|
[19] G. S. Watson: The $\chi^2$ goodness-of-fit test for normal distributions.Biometrika 44 (1957), 336-348. MR 0090951 |
| Reference:
|
[20] G. S. Watson: On chi-square goodness-of-fit tests for continuous distributions.J. Roy. Statist. Soc. Ser. B 20 (1958), 44-72. Zbl 0086.12701, MR 0100312 |
| . |
